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Finding the Fourth Proportional to 8,307.36, 12,463.10 and 2,463.98

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Solution

The fourth proportional to 8,307.36, 12,463.10 and 2,463.98 is: 3,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.36 : 12,463.10 = 2,463.98 : x
  2. Step 2: Convert to fraction form
    8,307.36/12,463.10 = 2,463.98/x
  3. Step 3: Cross multiply
    8,307.36x = 12,463.10 × 2,463.98
  4. Step 4: Simplify right side
    8,307.36x = 30,708,754.50
  5. Step 5: Solve for x
    x = 30,708,754.50/8,307.36
  6. Step 6: Final answer
    x = 3,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.